Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Numerical Functional Analysis and Optimization Year : 2012

Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative

Shakoor Pooseh
  • Function : Author
Ricardo Almeida
  • Function : Author

Abstract

We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.

Dates and versions

hal-00724710 , version 1 (22-08-2012)

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Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres. Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. Numerical Functional Analysis and Optimization, 2012, 33 (3), pp.301-319. ⟨10.1080/01630563.2011.647197⟩. ⟨hal-00724710⟩
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